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In the first step both numbers were divided by 10, which is a factor common to both 120 and 90. In the second step, they were divided by 3. The final result, 4 / 3 , is an irreducible fraction because 4 and 3 have no common factors other than 1.
As for fractions, the simplest form is considered that in which the numbers in the ratio are the smallest possible integers. Thus, the ratio 40:60 is equivalent in meaning to the ratio 2:3, the latter being obtained from the former by dividing both quantities by 20. Mathematically, we write 40:60 = 2:3, or equivalently 40:60∷2:3.
Additionally, many schools add .33 for a plus (+) grade and subtract .33 for a minus (−) grade. Thus, a B+ yields a 3.33 whereas an A− yields a 3.67. [ 18 ] A-plusses, if given, are usually assigned a value of 4.0 (equivalent to an A) due to the common assumption that a 4.00 is the best possible grade-point average, although 4.33 is awarded ...
Tetrahedral numbers can be modelled by stacking spheres. For example, the fifth tetrahedral number (Te 5 = 35) can be modelled with 35 billiard balls and the standard triangular billiards ball frame that holds 15 balls in place. Then 10 more balls are stacked on top of those, then another 6, then another three and one ball at the top completes ...
Mesh is a measurement of particle size often used in determining the particle-size distribution of a granular material.For example, a sample from a truckload of peanuts may be placed atop a mesh with 5 mm openings.
35 is a tetrahedral number. The 35 free hexominoes. 35 is the sum of the first five triangular numbers, making it a tetrahedral number. [1]35 is the 10th discrete semiprime [2] and the first with 5 as the lowest non-unitary factor, thus being the first of the form (5.q) where q is a higher prime.
For example, the third derivative with a second-order accuracy is ‴ () + (+) + (+) + (), where represents a uniform grid spacing between each finite difference ...
A flow is a process in which the points of a space continuously change their locations or properties over time. More specifically, in a one-dimensional geometric flow such as the curve-shortening flow, the points undergoing the flow belong to a curve, and what changes is the shape of the curve, its embedding into the Euclidean plane determined by the locations of each of its points. [2]